Abstract
The finite element method is based on the matrix displacement method. The method is based on the representation of a complex shape by a series of simpler shapes. The stiffness and other properties of the finite element can be obtained using energy methods. Further, the stiffness and other properties of the entire domain can be obtained by considering equilibrium and compatibility along the inter-element boundaries. This process leads to a large number of simultaneous equations, which can be readily solved on a high-speed digital computer. It must be emphasized, however, that the finite element method is virtually useless without the aid of a computer. This is the reason why the finite element method has been developed alongside the advances made with digital computers.
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